The spot welded hinge on Ducati tanks tends to crack through and start leaking on many models. The general solution is to find a good shop to braze it without spoiling any visible paint so that you don't need to repaint the whole tank. Welding isn't good for this since you tend to have several pin holes and it's better to seal and reinforce the whole area. I did this and then just rattle canned the part that was under the seat.
Interestingly, the first shop wanted to dip the whole tank in caustic solution to get the gas out before they put a torch to it, understandable. When I explained that it would remove all the paint and that was bad they told me there was no other way to do it. They also said the brazing was going to peel most of the paint anyway. I went to another shop across town (same chain) and they said no problem. Only cleaned the inside of the tank, scorched a tiny spot of the paint that was all under the seat and nothing else.
If you get it welded make sure you quiz the guy at the shop. If you don't like what he's planning to do find another shop. As bare said, heli-arc is probably best for these types of splits on the RE.
Scott